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Finding the Third Proportional to 170,806 and 271,415.50

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Solution

The third proportional to 170,806 and 271,415.50 is: 431,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,806 : 271,415.50 = 271,415.50 : x
  2. Step 2: Convert to fraction form
    170,806/271,415.50 = 271,415.50/x
  3. Step 3: Cross multiply
    170,806x = 271,415.50 × 271,415.50
  4. Step 4: Simplify right side
    170,806x = 73,666,373,640.25
  5. Step 5: Solve for x
    x = 73,666,373,640.25/170,806
  6. Step 6: Final answer
    x = 431,286.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.